Solve for S, r, a, b
r=-\frac{\sqrt{\frac{b}{\pi }}}{2}\text{, }S=b\text{, }a=b\text{, }b\geq 0
r=\frac{\sqrt{\frac{b}{\pi }}}{2}\text{, }S=b\text{, }a=b\text{, }b\geq 0
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